Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
101124k |
Isogeny class |
Conductor |
101124 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
1572680448 = 28 · 37 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 4 1 3 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-296535,-62152994] |
[a1,a2,a3,a4,a6] |
Generators |
[2197678:40149423:2744] |
Generators of the group modulo torsion |
j |
5500882402000/3 |
j-invariant |
L |
8.9378258560513 |
L(r)(E,1)/r! |
Ω |
0.20458819209013 |
Real period |
R |
10.921727383926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33708d1 101124o1 |
Quadratic twists by: -3 53 |